Ternary Golay code

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Properties

Parity check matrix Hamming distance Quadratic residue code Finite field Football pool

15 related topics

History and applications

Golay Barg 1993 Finnish Quantum computing Magic state distillation

5 related topics

Overview

Coding theory Error-correcting codes Linear code Ternary Relative distance

8 related topics

Key facts & relationships

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Alphabet size: 3
Block length: 11
Distance: 5
Message length: 6
Named after: Marcel J. E. Golay
Notation: [ 11 , 6 , 5 ] 3 {\displaystyle [11,6,5]_{3}} -code

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Map overview Semantic statistics

Nodes32

Edges31

Triples29

Avg. degree1.94

Density0.0625

Components1

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Ternary Golay code

Top relations

related to Ternary Golay code · 8

Ternary Golay code → Any, Every, F3, Galois Field GF, Golay, Hamming, Its, The

related to history · 7

Ternary Golay code → Barg, Finnish, Golay, It, Juhani Virtakallio, The, Veikkaaja

related to Extended ternary Golay code · 4

Ternary Golay code → Golay, M12, Mathieu, The

is a · 2

Ternary Golay code → Mathieu group M11, perfect code

Alphabet size · 1

Ternary Golay code → 3

Block length · 1

Ternary Golay code → 11

Distance · 1

Ternary Golay code → 5

Message length · 1

Ternary Golay code → 6

Named after · 1

Ternary Golay code → Marcel J. E. Golay

Notation · 1

Ternary Golay code → [ 11 , 6 , 5 ] 3 {\displaystyle [11,6,5]_{3}} -code

Important terminology Word statistics

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Important terminology

golay code ternary extended 11 matrix displaystyle mr linear generator check theory isbn rows codes two finite distance codewords parity

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Ternary Golay code	Alphabet size	3	1.00	infobox
Ternary Golay code	Block length	11	1.00	infobox
Ternary Golay code	Distance	5	1.00	infobox
Ternary Golay code	Message length	6	1.00	infobox
Ternary Golay code	Named after	Marcel J. E. Golay	1.00	infobox
Ternary Golay code	Notation	[ 11 , 6 , 5 ] 3 {\displaystyle [11,6,5]_{3}} -code	1.00	infobox
Ternary Golay code	Rate	6/11 ~ 0.545	1.00	infobox
Ternary Golay code	Type	Linear block code	1.00	infobox
Ternary Golay code	is a	perfect code	0.90	text
Ternary Golay code	is a	Mathieu group M11	0.90	text
Ternary Golay code	related to Extended ternary Golay code	The	0.60	section
Ternary Golay code	related to Extended ternary Golay code	Golay	0.60	section

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Min side: 3